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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 389, page id 826603459:0435
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E RP. 44.
De Fractionum Reductionibus variis.
nominatori adiungitur Fractio)
122
=: Ductio nem
Decum Numeratore cum Denominarore, in communem mul-
CiplicaTOreM Z, MEN IMMUEatuT quanTicaS.
Sic
2 = 4
127 12s; ductis nempe tum numeratore cum dea
nominatore, in 10 = 5 a 3.
Eademque plane methodoncendum erit, in Fractionibus (s
id obcingat) eriam adhuc ulcerins fractis, sive quoad Numera-
eorem, sire Denominatorem, sive criam utrumque. CIEnon HE
Opushilce diueius immorari.
Superes uc de Fractionibus Sexagenariis, e Decimalibus De Fracsie
verba Facimus; carumquecum ad invicem, cum ad Fractiones
ordinarias reductiones acque harum ad illas. Ex omnibus enim
Fractionum Reductionibus, hae duxe prxe reliquis celebres lunc;
nempe reductio ad parces Sexagenarias, e ad parces Dccimaler:
ae vice verla. Illa reteribus admodum tamiliaris erac de Erc.
quens; haec maxime Recencioribus.
In Fractionibus Sexagenariis, Cupponicur inceorum quodris
in parces 60 diridi, quas rocant nenn minuca prima, Ccrupulos
primos; Ec eorum quodlibet in 60minoca secunda; et quedvis
horum in cocidem minura cerria; d sic dcinceps, in concinua
racione subsexaeccupla. Sic, verbigracia: Pora dividitur in
60 minuca prima, _ quodlibet minucum primum in 60 lecun
da; _ quodlibet sccundum in cocidem cercia, ec. Icem circuli
Eve quadrancis, aur etiam Signi Cradus quiliber eadem racione
diridicur in Minuca prima, sccundo, terria, _c.
In Recenciorum parcibus Decimalibus, supponicur lnccorum
quodris diridi in 10 partes decimas; Z decima quaelibet, in 10
Cencelimas; quxlibet cenresima in 10 Millesimas; e sic dein-
cepo, in concinua racione lubdecupla intra llnicaris locum de-
Ccendendo, sicuc Cupra Clnicaris locum concinua racione decu
pla alcendicur, ad decades, cencurias, millia, _c. Oux quider
racio diridendi inceorum, mulco accommodacior eA, quam ven
rerum Sexagenaria; quia Fractiones decimales eodem plane
modotractanege, quo numeri incegris (ut luo loco dictum est.)
nullamque calculidifficulcarem involvune; cum Sexapeniria
 C C
Ba
nioio vea
Shariis 
Decimali-